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Help with math problem
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1 Evaluate the expression 2a + b - 3 when a=5 and b=2. Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps. Evaluate the expression 2a + b - 3 when a=5 and b=2. Set up the expression and show your work.
Answers
Answer:
11
or
2(5)+2-3
Step-by-step explanation:
if a = 5 and b=2,
you add it into the expression.
2a + b -3 --> 2(5) + 2 - 3
all you have to do is replace the letters with the (given) numbers.
then, solve.
2(5) = 10
2-3= 1
10+1 =11
the answer is 11.
:)
The Value for the expression 2a + b -3 is 9.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Expression: 2a+ b -3
Now, for a=5 and b=2 thee expression gives
= 2a + b -3
= 2(5) + 2 -3
= 10 +2 - 3
= 12 - 3
= 9
Hence, the Expression valued 9.
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Find the coordinates of the orthocenter of the triangle whose vertices are A(3, 1), B(0, 4) and C(-3, 1).
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Let us consider the perpendicular drawn from A is AD and perpendicular drawn from the vertex B is BE.
Slope of AC = [(y2 - y1)/(x2 - x1)]
A (3, 1) and C (-3, 1)
here x1 = 3, x2 = -3, y1 = 1 and y2 = 1
= (1 - 1) / (-3 - 3)
= 0 / (-6)
= 0
Slope of the altitude BE = -1/ slope of AC
= -1/0
Equation of the altitude BE :
(y - y1) = m (x -x1)
Here B (0, 4) and m = -1/0
(y - 4) = -1/0 (x - 0)
10 (y - 4) = -1(x)
x + 10y - 40 = 0 --------(1)
Slope of BC = (y2 - y1)(x2 - x1)]
B (0, 4) and C (-3, 1)
Here x1 = 0, x2 = -3, y1 = 4 and y2 = 1.
= (1 - 4) / (-3 - 0)
= (-3)/(-3)
= 1
Slope of the altitude AD = -1/ slope of AC
= -1/1
= -1
Equation of the altitude AD :
(y - y1) = m (x - x1)
Here A(3, 1) m = -1
(y - 1) = -1 (x - 3)
(y - 1) = -x + 3
x + y - 1 - 3 = 0
x + y - 4 = 0
x = -y + 4--------(2)
Substituting (2) into (1), we get
-y + 4 + 10y - 40 = 0
9y - 36 = 0
y = 36/9
y = 4
By applying y = 4 in (1), we get
x = -4 + 4
x = 0
Janet picked forty-eight tulips and twenty-two roses to make flower bouquets. If she only
used twenty-three of the flowers though, how many extra flowers did Janet pick?
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Answer:
47
Step-by-step explanation:
48 + 22 = 70
70 - 23 = 47
Hope this helped! Let me know if you need a better explanation!
2. QS bisects 2 PQR Р S 29° R What is m
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Answer:
slope
Step-by-step explanation:
Find the value of X? Please answer both :))
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In the given figure , two sides of the triangle are equal , so it is isosceles triangle . So , as we know that in an isosceles triangle equal side's opposite answers are also equal . Now ,
=> x = 75°
Hence , x = 75°
Answer 2 :-Using the same property which we used in the above problem ,
• x = x
Now using angle sum property of triangle ,
=> x + x + 40° = 180°
=> 2x + 40° = 180°
=> 2x = 180° - 40°
=> 2x = 140°
=> x = 140° / 2
=> x = 70°
Hence , x = 70° .
Answer:
The ans to the first question would be 75, Coz....
It's an Isosclese triangle, as both sides are equal [The two lines on the triangle indicate that its equal]
So,the angle given is 75 degrees, the other angle would be 75 degrees too.
For the second question-
The same rule applies here, the triangle shown is an isosclese triangle,so the angle x & the angle opposite to x should be equal [The angle opposite or next to angle x is blank, so lets just call it y]
The equation of a triangle goes-
The angles of a triangle add upto 180
So 40+x+y=180
180-40 will give the sum of both angle x & y
180-40=140 [Now we know that x+y=140, we also know that both angles have the same value, so basically they're equal]
this means that we can divide 140 equally into two parts to disturbute the value to both x & y
140/2=70 degrees
So, the ans of x=70 [y is also 70, but the question doesnt ask for it]
Heeeeeeeellllllpppppppppp!
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Answer:
D
Step-by-step explanation:
15 - 2.5x = 40 ( isolate the term in x by subtracting 15 from both sides )
- 2.5x = 40 - 15 = 25 ← Step 1
divide both sides by - 2.5
x = 25 ÷ - 2.5 ← Step 2
x = - 10
How does knowing one linear factor of a polynomial help find the other factors?
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Answer:
How does knowing one linear factor of a polynomial help find the other factors?
Step-by-step explanation:
f(x)=(x−3)(x−1)(x+2)(x+6)
f(x)=(x−2)(x−2)(x+3)(x+5)
f(x)=(x−5)(x−3)(x+2)(x+2)
f(x)=(x−8)(x−1)(x+3)(x+5)
f(x)=(x−2)(x−1)(x+4)(x+4)
Correct answer:
f(x)=(x−2)(x−2)(x+3)(x+5)
Explanation:
We begin by attempting to find any rational roots using the Rational Root Theorem, which states that the possible rational roots are the positive or negative versions of the possible fractional combinations formed by placing a factor of the constant term in the numerator and a factor of the leading coefficient in the denominator.
That was a lot of wordage in one sentence, so let's break that down. We begin with our polynomial.
f(x)=x4+4x3−13x2−28x+60
The constant term is the term without a variable (just a plain number). In our case the constant is 60. What are the possible factors of 60?
1,2,3,4,5,6,10,12,15,20,30,60
The leading coefficient is the number in front of the largest power of the variable. When the terms are listed in descending order (highest to lowest power), the leading coefficient is always the first number. In our case the leading coefficient is hard to spot. Since there is no number in front of x4, the coefficient is 1 by default.
This is nice because the only factor of 1 is well ... 1.
We then create all the possible fractions with a factor of the constant in the numerator and a factor of the leading coefficient in the denominator. This actually isn't as bad as it could be since our only possible denominator is 1. Any fraction with a denominator of 1 is just the numerator. Therfore, our possible "fractions" are simply
1,2,3,4,5,6,10,12,15,20,30,60
However, we must consider the positive or negative versions of these, so our final list of possible rational roots is
±1,±2,±3,±4,±5,±6,±10±,1±2,±15,±20,±30,±60
Unfortunately, this is where the process (at least without the assitance of a graphing calculator) becomes less fun. Using synthetic division, we must simply try each possible root until we have success. There's really no consistent rule to tell us where to start. Generally starting with the smaller whole numbers is best because the synthetic division is easier. Therefore, we could begin with 1 then proceed to −1,2,−2, etc.
For the sake of keeping this explanation as short as possible, I am going to skip straight to 2, where we will first find success.
Therefore, 2 is a root. However, it is always important to check to see if a root is in fact a double root (it works twice). Therefore, let's try it one more time.
2 does in fact work twice and is thus a double root. Since we only have three terms remainng, we can convert from synthetic back to an algebraic expression.
f(x)=x2+8x+15
We can then factor.
f(x)=(x+3)(x+5)
Writing our root of 2 as an algebraic expression gives (x−2). Since we have double root, we need two of these. Therfore, our final factored expression is.
f(x)=(x−2)(x−2)(x+3)(x+5)
4. Your Language Arts teacher expects
you to read an entire book over the 3 day
weekend. On Tuesday you are on page 60
and are 1/5 of the way done. How many
pages are in the book?
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There are 600 pages in the book.
In this question, we have been given a situation where your Language Arts teacher expects you to read an entire book over the 3 day weekend.
On Tuesday you are on page 60 and are 1/5 of the way done.
We have been given a fraction 1/5.
We need to find the number of pages in the book.
Let 'n' be the number of pages in the book.
60 = 1/5 × n
n = 5 × 60
n = 300
Therefore, there are 600 pages in the book.
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Drag the phrases into the box to match each expression.
(A) 6/x+3
(B) 3x-6
(C) 6(x+3)
(1) 6 divided by a number 3 times
(2) 6 less than 3 plus a number
(3) 3 more than the quotient of 6 and a number
(4) 3 more than the product of 6 and a number
(5) 6 more than a number divided by 3
(6) the product of 6 and the sum of a number and 3
(7) 6 less than the product of 3 and a number
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Answer:
(A) = (3). (B) = (7). (C) = (6)
What is the equation for the
following table:
X Y
1 -5
2 -7
3 -9
4 -11
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y= mx+b
-5= -2(1) + b
-5 = -2 + b
b = -3
equation: y= -2x-3
determine the rate of charge for the graph from 2010 to 2012:
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Answer:
This answer is D
Step-by-step explanation:
Rewrite the equation by completing the square.
X^2+ 10x + 25 = 0
(x+
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or (x+5)^2 = 0
PLEASE HELP ME !!!!!!!!!!!
for each equation, find f(-x) and -f(x) and then determine whether if is even, odd or neither. Justify your answer
[tex]f(x)=x^4+4/x^2+1[/tex]
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The function f(x) = x^4 + 4/x^2 + 1 is an even function
How to determine the function type?The equation of the function is given as
f(x) = x^4 + 4/x^2 + 1
Calculate f(-x)
So, we have
f(-x) = (-x)^4 + 4/(-x)^2 + 1
Evaluate the exponents
f(-x) = x^4 + 4/x^2 + 1
Calculate -f(x)
So, we have
-f(x) = -[x^4 + 4/x^2 + 1]
Evaluate the product
-f(x) = - x^4 + 4/x^2 + 1
From the above computations, we have
f(x) = f(-x)
This represents an even function
Hence, the function f(x) = x^4 + 4/x^2 + 1 is an even function
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FIND THE UNIT RATE HELP ITS DUE IN 30 MINUTES
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Answer:
The unit rate = 2 dollars / per pineapple
Point A(7, 14) indicates that the value of 14 pineapples is 7 dollars.
Step-by-step explanation:
The unit rate represents the slope of the line.
It means the slope is often termed as a ratio, which could be expressed as a unit rate found at the point on the graph with the given ordered pairs.
Let us take two points that lie on the graph to determine the unit rate (or slope)
(1, 2)(2, 4)unit rate = slope = y₂-y₁ / x₂-x₁
= 4-2 / 2-1
= 2/1
= 2
Thus, the unit rate = 2 dollars / per pineapple
The location of point A is (7, 14)
i.e. A(7, 14)
Point A(7, 14) indicates that the value of 14 pineapples is 7 dollars.7 divided by 1/3 help asapp
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Answer:
7 divided by 1/3 is 21
Step-by-step explanation:
5x + 3 ≤ 18 and 4-X<6
Question
A. Solve the inequalities and show your work.
B. graph the solution to the compound sentence on the number line.
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The answer would A! :3
help or else the dog dies >:( no silly answers
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Answer:
3
Step-by-step explanation:
3/10 is 1/3 of 9/10
Answer: 2.7?
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS ASAP I NEED THE EXPLANATION PLEASE
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Answer:
could you get a better picture of it so I could answer or for you?
9x-6y=20 and -3y=2x-11 parallel perpendicular or neither
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Answer:
-2/3 is the negative inverse of 3/2
A sled team consists of 11 dogs and the musher. Each dog weighs 70 pounds and the musher weighs 160 pounds. What is the average weight of the sled team members?
a
68.5 pounds
b
115 pounds
c
73.5 pounds
d
77.5 pounds
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Answer:
C. 73.5lbs
Step-by-step explanation:
Find sin ( A). с 50 14 B -A 48
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Answer: Murder is a sin
Step-by-step explanation:
Can someone please help me. really need help. question and answer options are in the photo.
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Answer:
Hey give it a try but my answer is 1.5 miles
Step-by-step explanation:
Answer:
I believe it is B.
Step-by-step explanation:
Hope this helps
How do I answer this question-
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9514 1404 393
Answer:
18 cm
Step-by-step explanation:
Consider right triangle PCA.
The length PC is the hypotenuse of that triangle. It is also the radius of the circle: 15 cm.
The length AC is AB -CB = (27 -15) cm = 12 cm.
The length AP can be found from the Pythagorean theorem:
AP² +AC² = PC²
AP² = PC² -AC² = (15 cm)² -(12 cm)² = (225 -144) cm² = 81 cm²
AP = √(81 cm²) = 9 cm
Since A is the midpoint of PQ, the length of PQ is double the length of AP:
PQ = 2·AP = 2·9 cm
PQ = 18 cm
5 over 30 = x over 90
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[tex]\frac{5}{30} =\frac{x}{90}[/tex]
Match the denominators:
[tex]\frac{5}{30} *\frac{3}{3}= \frac{15}{90}[/tex]
x = 15
Check your work:
[tex]\frac{15}{90} \div \frac{3}{3} = \frac{5}{30}[/tex]
We know that x = 15
There are 32 marbles to share equally among 8 children. How many marbles does each child get?
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Answer:
each child get 4
Step-by-step explanation:
Answer:
4 marbles
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Point P( –3, 1) is rotated 270°, then reflected across y=x. What is P′′?
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Point P=(-3,1). The point P is rotated 270°. Reflected across y=x. The given image is obtained by rotating a preimage by 270 degrees clockwise and using its coordinates point P"=(3,1).
Given that,
Point P=(-3,1)
The point P is rotated 270°.
Reflected across y=x.
The reflection of (x, y) across the line y = x results in (y, x)
Across the line y = x, P(-3, 1) is reflected (1, -3)
The given image is obtained by rotating a preimage by 270 degrees clockwise and using its coordinates (x, y) is (-y, x)
The given image is produced by rotating the preimage, P, by 270 degrees clockwise. Its coordinates are P = (1, -3) is (3, 1)
Therefore, point P"=(3,1)
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1. Write an equation that could represent the graph below. Justify why your equation is appropriate for this graph. у
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Answer:
-x^2
Step-by-step explanation:
In the trapezoid below, x = [? ]
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if this trapezoid is to scale, then the scale factor between the shortest and longest side is 1.5
so, that means that 1.5(2x+6) = 4x+2
so, your equation becomes 3x+9 = 4x+2
if you subtract 2 from each side, you get 3x+7 = 4x
meaning that x = 7
i hope this helps, and i'm sorry if it's wrong!! :)
The perimeter of a rectangle was 60 centimeters. The length is 4 centimeters longer than the width, w. What equation could be used to solve this problem? Choose all that apply.
a.2(w)+ 2(w+4) =60
b. w(w+4) =60
c.4w+8=60
d.2w+(w+4) =60
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Answer:
a. 2w + 2(w+4) = 60
Answer:
the answers a
Step-by-step explanation: the width is 10 and the length is 20